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24 October, 06:51

Estimate the solution to the system of equations 2x+3y=6 - 4x+3y=12

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Answers (1)
  1. 24 October, 07:18
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    (x, y) = (1, 10/3)

    Step-by-step explanation:

    2x + 3y + 12

    6 - 4x + 3y = 12

    Simplify the equation:

    2x + 3y = 12

    -4x + 3y = 6

    Multiply both sides by - 1:

    2x + 3y = 12

    4x - 3y = - 6

    Eliminate one variable by adding the equations:

    6x = 6

    Divide both sides by 6:

    x = 1

    Substitute the value of x into the equation:

    -4 x 1 + 3y = 6

    Solve the equation:

    y = 10/3

    A possible solution:

    (x, y) = (1, 10/3)

    Check the solution:

    2 x 1 + 3 x 10/3 = 6 - 4 x 1 + 3 X 10/3 = 12

    Simplify the expression:

    12 = 12 = 12
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